Concepedia

Weak Solutions

Weak Solution is a generalized solution to a partial or stochastic differential equation that satisfies the equation in an integral (distributional) sense rather than pointwise, thereby allowing for solutions with reduced regularity such as discontinuities or non-differentiable points.

4K

Publications

188.6K

Citations

4.4K

Authors

1.5K

Institutions

Publications per year

2017–2026

835

Parents

Publications

4K

Weak solutions of nonlinear hyperbolic equations and their numerical computation

Peter D. Lax · Communications on Pure and Applied Mathematics · 1954 · 1.8K citations

, , +16

Partial regularity of suitable weak solutions of the navier‐stokes equations

Luis Caffarelli, Robert V. Kohn, Louis Nirenberg · Communications on Pure and Applied Mathematics · 1982 · 1.6K citations

, , +16

Regularity for a more general class of quasilinear elliptic equations

Peter Tolksdorf · Journal of Differential Equations · 1984 · 1.5K citations

, , +10

C1 + α local regularity of weak solutions of degenerate elliptic equations

Emmanuele DiBenedetto · Nonlinear Analysis · 1983 · 1.1K citations

, , +11

On the interior regularity of weak solutions of the Navier-Stokes equations

James Serrin · Archive for Rational Mechanics and Analysis · 1962 · 1K citations

, , +14

1–5 of 4K

Authors

4.4K

  1. EF
    Eduard Feireisl

    Czech Academy of Sciences, Institute of Mathematics, Czechia

    27 publications · 2.3K citations

    21

    h-index

  2. MR
    Michael Röckner

    Bielefeld University, Germany

    27 publications · 1.8K citations

    21

    h-index

  3. ZX
    Zhouping Xin

    Chinese University of Hong Kong, Hong Kong SAR China

    20 publications · 2.5K citations

    19

    h-index

  4. MW
    Michael Winkler

    Paderborn University, Germany

    19 publications · 3.3K citations

    18

    h-index

  5. GD
    Giuseppe Da Prato

    Scuola Normale Superiore, Italy

    17 publications · 1.3K citations

    17

    h-index

1–5 of 4.4K

Institutions

1.5K

  1. Centre National de la Recherche Scientifique

    Paris, France

    46 h-index

    247 publications

    11.2K citations

  2. Courant Institute of Mathematical Sciences

    New York, United States

    32 h-index

    51 publications

    6.4K citations

  3. Laboratoire de Mathématiques Blaise Pascal

    Aubière, France

    29 h-index

    76 publications

    2.8K citations

  4. The University of Texas at Austin

    Austin, United States

    28 h-index

    47 publications

    4.1K citations

  5. Czech Academy of Sciences, Institute of Mathematics

    Prague, Czechia

    27 h-index

    66 publications

    4.5K citations

  6. Université Paris Dauphine-PSL

    Paris, France

    27 h-index

    36 publications

    3.5K citations

  7. Sorbonne Université

    Paris, France

    26 h-index

    57 publications

    3.2K citations

  8. Bielefeld University

    Bielefeld, Germany

    26 h-index

    52 publications

    2.7K citations

1–8 of 1.5K

Venues

  1. SIAM Journal on Mathematical Analysis

    198 publications · 10.3K citations

    57

    h-index

  2. Communications in Partial Differential Equations

    114 publications · 9.5K citations

    50

    h-index

  3. Journal of Differential Equations

    157 publications · 9.8K citations

    44

    h-index

  4. Communications on Pure and Applied Mathematics

    64 publications · 10.7K citations

    42

    h-index

  5. Archive for Rational Mechanics and Analysis

    71 publications · 6.5K citations

    41

    h-index

1–5